A study of North York University students showed the mean age of all students in the...

A study of North York University students showed the mean age of all students in the first year of university to be 19.6 years old with a standard deviation of 1.06 years. A randomly selected subgroup of these first-year students also averaged 19.4 years in age with a standard deviation 1.05 years.

a) Are the numbers 19.6 and 1.06 statistics or parameters? Explain.

The numbers are parameters because they were calculated for all North York University's first-year students.
The numbers are parameters because the numbers were calculated for a sample of North York University students and are therefore estimates.
The numbers are statistics because the numbers were calculated for all North York University's first-year students.
The numbers are statistics because the numbers were calculated for a sample of North York University students and are therefore estimates.

b) Are the numbers 19.4 and 1.05 statistics or parameters? Explain.

The numbers are statistics because the numbers were calculated for all North York University's first-year students.
The numbers are parameters because they were calculated for a sample of North York University students and are therefore estimates.
The numbers are parameters because they were calculated for all North York University's first-year students.
The numbers are statistics because the numbers were calculated for a sample of North York University students and are therefore estimates.

c) Select any correct pair of labels and values below:

μ=19.4μ=19.4 and s=1.05s=1.05
μ=19.4μ=19.4 and σ=1.06σ=1.06
¯x=19.4x¯=19.4 and σ=1.06σ=1.06
¯x=19.6x¯=19.6 and s=1.06s=1.06
¯x=19.6x¯=19.6 and σ=1.06σ=1.06
¯x=19.4x¯=19.4 and s=1.06s=1.06
μ=19.6μ=19.6 and s=1.05s=1.05
μ=19.6μ=19.6 and σ=1.05

Expert Solution

Parameters are the values calculated using the entire population.

Whereas the statistics are the values calculated using sample observations.

and denote the population mean and population standard deviation respectively.

s denote the sample standard deviation.

orchestra answered 2 years ago

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